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Unveiling Topological Order Through Multipartite Entanglement by Patra, Siddhartha; Basu, Somnath; Lal, Siddhartha is a scholarly article available to read on EtoBox.

What is Unveiling Topological Order Through Multipartite Entanglement about?

It is well known that the topological entanglement entropy ($S_{topo}$) of a topologically ordered ground state in 2 spatial dimensions can be captured efficiently by measuring the tripartite quantum information ($I^{3}$) of a specific annular arrangement of three subsystems. However, the nature of the general N-partite information ($I^{N}$) and quantum correlation of a topologically ordered ground state remains unknown. In this work, we study such $I^N$ measure and its nontrivial dependence on the arrangement of $N$ subsystems. For the collection of subsystems (CSS) forming a closed annular structure, the $I^{N}$ measure ($N\geq 3$) is a topological invariant equal to the product of $S_{topo}$ and the Euler characteristic of the CSS embedded on a planar manifold, $|I^{N}|=\chi S_{topo}$. Importantly, we establish that $I^{N}$ is robust against several deformations of the annular CSS, such as the addition of holes within individual subsystems and handles between nearest-neighbour subsystems. For a general CSS with multiple holes ($n_{h}>1$), we find that the sum of the distinct, multipartite informations measured on the annular CSS around those holes is given by the product of $S_{

Author

Patra, Siddhartha; Basu, Somnath; Lal, Siddhartha

Published

2021

Language

EN